For a standard random variable Z let Show that: when n is odd I started: from moment generating function of a normal variable however I cannot see where to go now
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Originally Posted by FGT12 For a standard random variable Z let Show that: when n is odd I started: from moment generating function of a normal variable however I cannot see where to go now I assume you mean a standard normal random variable then The Gaussian is an even function and if then Is even or odd depending on the exponent. So what do you know about integrals about even and odd functions over symmetric intervals?
what is j in this??? when n is odd Ok the math killed the english, I see it when I quote you. when n=2j why not just write if n is even Did you try differentiating the MGF?
I would just use the gamma function Then let
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